Dr. Keith E. Mellinger, Associate Professor in the Department of Mathematics, saw his article Minimal Kakeya Sets appear in the Journal of Combinatorial Designs. The article was co-authored with former student Kelly Scott ’12 who worked on the project as part of her undergraduate honors project.
Keith Mellinger Publishes Research Article
September 16, 2013 by
Keith Mellinger, Associate Professor and Chair of the Department of Mathematics, recently saw his co-authored research article Embedding cycles in finite planes published in the Electronic Journal of Combinatorics. The article addresses graph cycles in planes, a topic that has been connected to certain soft-decision decoding algorithms for error-correcting codes.
Keith Mellinger Presents at Meetings
July 17, 2013 by
Keith Mellinger, Associate Professor and Chair of the Department of Mathematics, recently traveled to two conferences to present various results of his research. First, was the 2nd Annual Conference for the Exchange of Mathematical Ideas, a conference he helped to organize, held at the University of Northern Iowa. There he spoke about Blocking Semiovals and Their Applications to Cryptography. He also traveled to London, England, for the 24th British Combinatorial Conference where he delivered the presentation titled Minimal Kakeya Sets.
UMW Math Professor Honored by Alma Mater
May 20, 2013 by
University of Mary Washington Associate Professor and Chair of Mathematics Keith Mellinger was honored with the 2013 Young Alumni Achievement Award from his alma mater, Millersville University. Mellinger received the award during the Pennsylvania university’s annual honors and awards convocation.
Mellinger received his bachelor’s degree in mathematics from Millersville in 1995 and earned a master’s degree and Ph.D. in mathematics from the University of Delaware. Since joining the UMW faculty in 2003, he has received numerous internal grants, including a Jepson Fellowship. In 2006, Mellinger was awarded a young investigator grant from the National Security Agency and in 2008, he was recognized with the UMW Alumni Association Outstanding Young Faculty Member Award. In 2010, Mellinger and a Virginia Tech colleague received the Carl B. Allendoerfer Award, a national writing award, from the Mathematical Association of America.
Mellinger has delivered professional presentations throughout the country and in Greece, Italy and Canada. He also has published many articles on both mathematical research and pedagogy in a variety of professional journals.
Mellinger received his bachelor’s degree in mathematics from Millersville in 1995 and earned a master’s degree and Ph.D. in mathematics from the University of Delaware. Since joining the UMW faculty in 2003, he has received numerous internal grants, including a Jepson Fellowship. In 2006, Mellinger was awarded a young investigator grant from the National Security Agency and in 2008, he was recognized with the UMW Alumni Association Outstanding Young Faculty Member Award. In 2010, Mellinger and a Virginia Tech colleague received the Carl B. Allendoerfer Award, a national writing award, from the Mathematical Association of America.
Mellinger has delivered professional presentations throughout the country and in Greece, Italy and Canada. He also has published many articles on both mathematical research and pedagogy in a variety of professional journals.Keith Mellinger Presents on Math & Music
April 18, 2013 by
Associate Professor and Chair of Mathematics Keith Mellinger recently attended the Mathematical Association of America‘s regional meeting held at Salisbury University. At the meeting, Mellinger presented Eigentriads – a musical offering in which he discussed eigenvectors, a topic found in any undergraduate course in linear algebra, and an amusing relationship they have with diminished and augmented triads.
Keith Mellinger Publishes Research Article
January 15, 2013 by
Keith Mellinger, associate professor and chair of the Department of Mathematics, saw his co-authored article “Blocking semiovals containing conics” published in the January 2013 issue of Advances in Geometry. The article addresses the construction of blocking semiovals, a mathematical object that finds application in areas of modern cryptology and the design of experiments.
Keith Mellinger Publishes Research Article
October 20, 2012 by
Associate Professor and Chair of the Department of Mathematics Keith Mellinger recently had his article “The de Bruijn–Erdős theorem for hypergraphs” published in the journal Designs, Codes and Cryptography. The article was co-authored with mathematicians from the University of Illinois at Chicago, the University of California in San Diego, and Tel Aviv University, Israel.
Keith Mellinger Publishes Research Article
August 29, 2012 by
Keith E. Mellinger, associate professor and chair of the Department of Mathematics, co-authored the article “Generalized Pellegrino caps ” which appears in the most recent issue of the journal Finite Fields and Their Applications. The journal publishes papers in various applications of finite fields including algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation and linear recurring sequences.
Keith Mellinger Publishes in Innovations in Incidence Geometry
May 27, 2012 by
Keith Mellinger, associate professor and chair of the Department of Mathematics, saw his co-authored article “Semiovals from Unions of Conics” published in the most recent issue of Innovations in Incidence Geometry. The article completely characterizes certain types of semiovals, special structures in finite geometries that find application as cryptologic keys.
Mellinger presented part of this work as an invited speaker at the 14th annual Discrete Math Days conference in Fort Collins, Colo.
Keith Mellinger Publishes in College Mathematics Journal
March 2, 2012 by
Keith Mellinger
Keith Mellinger, associate professor and chair of the Department of Mathematics, together with a colleague from Kean University in N.J., recently published “The Spider and the Fly” in the College Mathematics Journal, a publication of the Mathematical Association of America.
The Spider and the Fly puzzle, originally attributed to the great puzzler Henry Ernest Dudeney, and now over 100 years old, asks for the shortest path between two points on a particular square prism. The authors explore a generalization, find that the original solution only holds in certain cases, and suggest how this discovery might be used in the classroom.
